dc.contributor.author | COFFEY, WILLIAM THOMAS | |
dc.contributor.author | KALYMYKOV, YURI PETROVICH | |
dc.date.accessioned | 2009-06-17T09:47:16Z | |
dc.date.available | 2009-06-17T09:47:16Z | |
dc.date.issued | 2008 | |
dc.date.submitted | 2008 | en |
dc.identifier.citation | Coffey, W.T., Kalmykov, Y.P., Titov, S.V., Cleary, L., 'Smoluchowski equation approach for quantum Brownian motion in a tilted periodic potential' in Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 78, 3, (2008), art. no. 031114 | en |
dc.identifier.other | Y | |
dc.identifier.other | Y | en |
dc.identifier.uri | http://hdl.handle.net/2262/30526 | |
dc.description | PUBLISHED | en |
dc.description.abstract | Quantum corrections to the noninertial Brownian motion of a particle in a one-dimensional tilted cosine periodic potential are treated in the high-temperature and weak bath-particle coupling limit by solving a quantum Smoluchowski equation for the time evolution of the distribution function in configuration space. The theoretical predictions from two different forms of the quantum Smoluchowski equation already proposed?viz., J. Ankerhold et al. [Phys. Rev. Lett. 87, 086802 (2001)] and W. T. Coffey et al. [J. Phys. A 40, F91 (2007)]?are compared in detail in a particular application to the dynamics of a point Josephson junction. Various characteristics (stationary distribution, current-voltage characteristics, mean first passage time, linear ac response) are evaluated via continued fractions and finite integral representations in the manner customarily used for the classical Smoluchowski equation. The deviations from the classical behavior, discernible in the dc current-voltage characteristics as enhanced current for a given voltage and in the resonant peak in the impedance curve as an enhancement of the Q factor, are, respectively, a manifestation of relatively high-temperature nondissipative tunneling (reducing the barrier height) and dissipative tunneling (reducing the damping of the Josephson oscillations) near the top of a barrier. | en |
dc.description.sponsorship | The Visiting Professors? and Lecturers? fund of Trinity
College Dublin is thanked for financial support for S.V.T. in
this work. L. C. acknowledges, with thanks, IRCSET. | en |
dc.format.extent | art. no. 031114 | en |
dc.format.extent | 469627 bytes | |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | en |
dc.publisher | American Institute of Physics | en |
dc.relation.ispartofseries | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics | en |
dc.relation.ispartofseries | 78 | en |
dc.relation.ispartofseries | 3 | en |
dc.rights | Y | en |
dc.subject | Brownian motion, functional analysis, Josephson effect, quantum theory, tunnelling | en |
dc.title | Smoluchowski equation approach for quantum Brownian motion in a tilted periodic potential | en |
dc.type | Journal Article | en |
dc.contributor.sponsor | Irish Research Council for Science Engineering and Technology | |
dc.type.supercollection | scholarly_publications | en |
dc.type.supercollection | refereed_publications | en |
dc.identifier.peoplefinderurl | http://people.tcd.ie/wcoffey | |